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\author{王立庆（2023级数学与应用数学1班）}
\title{复变函数教学大纲}
%\date{2025年8月21日}

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\begin{document}

\maketitle

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\section*{使用教材}
\begin{enumerate}\itemsep0em 
\item 崔贵珍, 高延. 基础复分析. 高等教育出版社. 2024年8月第1版.    
\end{enumerate}

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\section*{参考文献}
\begin{enumerate}\itemsep0em 
\item  拉尔斯.V.阿尔福斯. 复分析. 机械工业出版社. 2022年2月第一版.
\item  梁昆淼. 数学物理方法. 高等教育出版社. 2020年11月第五版.
\item  钟玉泉. 复变函数论. 高等教育出版社. 2021年3月第五版.
\item  Tristan Needham. Visual Complex Analysis. Oxford University Press. 2023. 
\item  William T. Shaw. Complex Analysis with Mathematica. Cambridge University Press. 2008. 
\item  Robert E. Greene, Steven G. Krantz. Function Theory of One Complex Variable. 单复变函数论. 高等教育出版社. 2017年1月第一版.

\end{enumerate}

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\section*{时间地点}
\begin{enumerate}
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\item 上课时间地点：周四下午5-6节，五教110.
\item 答疑时间地点：周四下午7-8节，一教210. 
\end{enumerate}

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\section*{课程成绩}
\begin{enumerate}
\item  平时成绩 100\%, 包括课堂练习、课外作业、课程论文、期末考查。
\begin{enumerate}\itemsep0em 
\item[1.1.] 课堂练习10次，共20分。(书中和书后习题)
\item[1.2.] 课外作业10次，共20分。(书中和书后习题)
\item[1.3.] 课程论文1篇，共30分。(Get something new!)
\item[1.4.] 期末考查1次，共30分。(书中和书后习题)
\end{enumerate}

%\item  期末成绩 60\%, 计算题和应用题。

\end{enumerate}

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\section*{授课计划}

\begin{table}[ht!]\centering
\begin{tabular}
{|p{1cm}|p{1cm}|p{5cm}|p{4cm}|} \hline 
周	&章	& 章名称     & \\ \hline\hline  
1	&1	& 复数      &  \\  \hline
2	&2	& 点集拓扑基础   &  \\  \hline
3-4	&3	& 复函数      &  \\  \hline
5-6	&4	& 初等函数的几何性质      &  \\  \hline
7-8	&5	& 复积分      &  \\  \hline
9	&6	& 留数计算      &  \\  \hline
10	&7	& 调和函数      & 部分 \\  \hline
11	&8	& 级数与乘积展开      & 部分 \\  \hline
12	&9	& 共形映射与Dirichlet问题  & 部分 \\  \hline
13	&10	& 解析延拓      &  部分 \\ \hline
14	&11	& 椭圆函数      &  部分 \\ \hline
15	&		&期末考查	& \\  \hline
\end{tabular}
\end{table}

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%\section*{课程目标}


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